CBSE  /  Class 10  /  Maths  /  Surface Areas and Volumes

  • 1. 
    If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio:

  • 27 : 64
  • 64 : 27
  • 4 : 3
  • 3 : 4

  • 2. 
    A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?

  • 3 : 1 : 2
  • 3 : 2 : 1
  • 1 : 2 : 3
  • 1 : 3 : 2

  • 3. 
    If the area of three adjacent faces of cuboid are X, Y and Z respectively, then the volume of cuboid is:

  • XYZ
  • 3XYZ
  • \(\sqrt{xyz}\)
  • \(\sqrt{3xyz}\)

  • 4. 
    The volumes of two spheres are in the ratio 27 : 8. The ratio of their curved surface is:

  • 9 : 4
  • 4 : 9
  • 3 : 2
  • 2 : 3

  • 5. 
    The ratio of the volumes of two spheres is 8 : 27. If r and R are the radii of spheres respectively, then (R - r): r is:

  • 1 : 2
  • 1 : 3
  • 2 : 3
  • 4 : 9

  • 6. 
    The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is:

  • 27 : 20
  • 20 : 27
  • 9 : 4
  • 4 : 9

  • 7. 
    If the radius of base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is:

  • 2 : 3
  • 3 : 4
  • 1 : 4
  • 4 : 1

  • 8. 
    If the volumes of a cube is 1728 cm³, the length of its edge is equal to:

  • 7 cm
  • 12 cm
  • 18 cm
  • 19 cm

  • 9. 
    The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is: .

  • 9.7
  • 72.6
  • 58.2
  • 19.4

  • 10. 
    The circumference of the edge of hemispherical bowl is 132 cm. When π is taken as \(\frac{22}{7}\), the capacity of bowl in cm³ is:

  • 2772
  • 924
  • 19404
  • 9702
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